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| Home > Publications database > Skyrmiondynamik und die Nukleon-Nukleon-Wechselwirkung |
| Book/Report | FZJ-2019-01751 |
1996
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
Jülich
Please use a persistent id in citations: http://hdl.handle.net/2128/21788
Report No.: Juel-3322
Abstract: Within the Skyrme model we study the low energy inter action of nucleons in the baryon number B=2 sector. Starting with the non-perturbative interaction of individualB=1 skyrmions we construct a B=2 hamiltonian which is used for the description of the nucleon-nucleon interaction. Using this hamiltonian we obtain semi-quantitative results for the nucleon-nucleon potential and for the properties of the deuteron. Having its origin in the large-Nc expansion of QCD, the Skyrme model is viewed as aneffective model of the strong interaction. This connection is presented in the first part of the work where also a semi-classical treatment of the nucleons via the solitonic description is applied. Some results for the B=1 sector are presented which confirm that the Skyrme model can serve as a very interesting model in the field of low energy hadronic physics. In the second part of this work we investigate the nonlinear interaction of two B=1 skyrmions. Using advanced numerical grid-methods we are able to calculate the relevant configurations in the B=2 sector. Of importance is the method of steepest descent developed in this work. Applying this special method to our problem we obtain different solitonic configurations which are of importance for a first description of the nucleon-nucleon interaction. Via the collective coordinate method we are able to describe approximately the dynamics of skyrmions and to deduce a collective coordinate hamiltonian. This model hamiltonian is used furt her in the third part of the work where we study the inter action of nucleons. We use the Born-Oppenheimer approximation in order to calulate the nucleon-nucleon potential and to obtain results for the properties of the bound state of two nucleons, the deuteron. The binding energy of the deuteron is calculated in different approximation schemes and certain properties of the deuteron, like the mean charge radius and the quadrupol moment are investigated in detail. The result we obtain are in satisfactory agreement to the experimentally known values. This shows that the Skyrme model can be viewed in the B=2 sector as weIl as an effective model of thestrong interaction.
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